In ________ simulation, one or more of the independent variables follows certain probability distributions, which can be either discrete distributions or continuous distributions.

We can apply a translation (aka shifting) to angle 4 to slide it down until it matches up perfectly with angle 8. This is one way to see how the two angles are identical copies of each other.

Once we know that [tex]\angle 4 \cong \angle 8[/tex], we can then show that angles 5 and 8 are congruent by rotating angle 8 exactly 180 degrees around so that it lands perfectly on angle 5. By the transitive property we can say

[tex]\text{ If } \angle 4 \cong \angle 8 \text{ and } \angle 8 \cong \angle 5, \text{ then } \angle 4 \cong \angle 5[/tex]

Another way is to reflect angle 4 over the transversal, and then slide it down so it matches up with angle 5. This bypasses the need for angle 8.

All of this is valid because of the parallel lines. If the lines weren't parallel, then angles 4 and 8 wouldn't be congruent (nor would angles 4 and 5). However, angles 5 and 8 are congruent since vertical angles are always congruent.

Answer:

37,000 milliliters = 37 liters

Step-by-step explanation:

A Litre is a

1,000

unit greater than a milliliter, so

multiply

the number of liters by

1,000

to find the number of milliliter. Therefore, 37 liters is equal to

37,000

milliliters

Step-by-step explanation:

Given :-

To find :-

Solution :-

Volume of Cylinder = πr²h

3.14 × 2² × 6.5 cubic inches

Volume = 81.64 cubic inches

Answer:

81.64

Step-by-step explanation:

Volume

Given

Solving

Using the arrangements formula, it is found that there is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.

The number of possible arrangements of n elements is the factorial of n, that is:

[tex]A_n = n![/tex].

The total number of outcomes is the arrangement of 7 elements, hence:

T = 7! = 5040.

The desired number of outcomes is all girls(3!), then all boys(4!), hence:

D = 3! x 4! = 6 x 24 = 144.

Hence, the probability is:

p = D/T = 144/5040 = 0.0286.

There is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.

More can be learned about the arrangements formula at https://brainly.com/question/24648661

Answer:

25.2minute

Step-by-step explanation:

75ft^2=45 minutes

1 ft^2=45/75

and, 7ft*6ft=42ft^2

42ft^2=45*42/75

=25.2minutes

Hope you like the solution. I am not sure of the answer. Mark me as brainlist.

Answer:1200/d

Step-by-step explanation:

Answer:

5120

Step-by-step explanation:

The sequence here is multiplying the previous value by 4. Following this sequence, we get the fourth value is 320, the fifth is 1280, and the sixth is 5120

Answer:

The length of A is 2. The height of A is 1.5. The Length of B is 5. The height of B is 15. The length of C is 6. The height of C is 6.

Step-by-step explanation:

Dimensions of A

Length: 4 multiplied by 1/2 is 2

Height: 3 multiplied by 1/2 is 1.5

Dimensions of B

Length: 2 multiplied by 2.5 is 5

Height: 6 multiplied by 2.5 is 15

Dimensions of C

Length: 2 multiplied by 3 is 6

Height: 2 multiplied by 3 is 6

Final answers are bolded

Answer:

They are triangle that have equal side and angle measurements.

Step-by-step explanation:

Answer:

[tex]y=-3[/tex] as any point on this line has a y-coordinate of -3

Answer:

0.446429

Step-by-step explanation:

Which would most likely be graphed using a continuous graph? Check all that apply.

total cost, c, of buying b cans of beans

total cost, c, of buying g pounds of broccoli

speed of a car, s, as it accelerates over time, t

number of stamps, s, needed to mail p postcards

total distance, d, that has been driven over time, t

decrease in outside temperature, F, one evening over time, t

B,C,E,F

this is what i found..hope it helps

The data representation where the median is the better measure of the center is the third data representation.

From the information, the last bar graph is skewed to the right, since the values of its fourth and fifth bars are way smaller than the values of its first, second, and third graphs.

The drastically smaller values pull down the mean of the last bar graph. Comparatively, bar graphs one and two have symmetrical distributions of numbers on both sides of the central bar and this implies that their mean is balanced out on both sides and that neither of them is significantly skewed left or right.

Learn more about data on:

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Answer: B/ the second graph

Step-by-step explanation: i hope this helps :)

If you meant to say "x is less than 25", then it translates to [tex]x < 25[/tex]

If you meant to say " |x| is less than 25", then it translates to [tex]|x| < 25[/tex] and that absolute value inequality expands into [tex]-25 < x < 25[/tex], meaning x is between -25 and 25 excluding both endpoints.

Volume = 1÷3 area of base × height

Answer:

168 in³

Step-by-step explanation:

Volume of a rectangular pyramid

[tex]V=\dfrac13lwh[/tex]

where:

Given:

[tex]\implies \textsf{volume}=\dfrac13\cdot 8 \cdot 7 \cdot 9=168\: \sf in^3[/tex]

Answer:

Give your laptop to me I repair it

Answer:

14.9%

When finding the unknown percentage, divide. For this case, separate 7 and 47 from the fraction and convert 7 to 7,000

[tex]0.47~/~7,000\\~~~~~~=14,893\\[/tex]

In percentage, 14,893 rounds to 14,900, which can be interpreted as 14.9%

Answer:

a diverge

b512000

c1000(2^30-1)

d

Step-by-step explanation:

t10=ar^9

=1000*2^9

s30=a(r^n-1)/r-1

=1000(2^30-1)/2-1

The geometric series given as 1000, 500, 250, 125,... is seen to be; Convergent.

A series is said to be divergent if it doesn't converge at any finite point. However, a series is said to be convergent if it converges at a finite point.

In this question, we see the series progressively reducing by one quarter of the previous number. Thus, it means that the sequence will converge close to zero and as such we can say taht the sequence is convergent.

Formula for sum of geometric series is;

Sₙ = a(1 - rⁿ)/(1 - r)

Thus;

S₁₀ = 1000(1 - 0.5¹⁰)/(1 - 0.5)

S₁₀ = 1998.05

Sum of first 30 terms is;

S₃₀ = 1000(1 - 0.5³⁰)/(1 - 0.5)

S₃₀ = 2000

Read more about convergent and divergent series at; https://brainly.com/question/15415793

#SPJ2

The solution of the provided equation (x – 3)(x 9), which is the product of two binomial equation, is 0.

The solution of the quadratic equation is the solution of the variable of the equation, for which the equation satisfies.

To find the solution of the equation, equate it to zero after factorizing it.

The equation provided in the problem is,

[tex](x - 3)(x+ 9)=-27[/tex]

Simplify the equation with the help of mathematical operations,

[tex](x - 3)(x+ 9)=-27\\x^2-3x+9x-27=-27\\x^2+6x-27+27\\x^2+6x=0\\x(x+6)=0[/tex]

Equate the factors to zero,

[tex]x=0;\; x=-6[/tex]

Hence, the solution of the provided equation (x – 3)(x 9), which is the product of two binomial equation, is 0.

Learn more about the solution of the equation here;

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Answer:

Card 7: 59.66 Card 8: 25.12

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

First divide S by 4pi. Then take the square root to solve for r.

Answer:

There is a picture below of the number line with the numbers, plotted.

Step-by-step explanation:

For the 2 3/8, you would simply go to 2 and count 3 to the right becuase there are 8 points for each whole number to the next. It's pretty hard to explain sorry. For 1 3/4, you would make the denominator 8, so multiply it by 2. When we do this, we multiply both the numerator and denominator. What is done to one must be done to the other. 3*2 to get 6. 4*2 to get 8. So, 3/4 becomes 6/8. Now, we can go to 1, and count 6 points to the right to get to 1 3/4.

Answer:  1/4

Step-by-step explanation: The coin is fair, the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12 because among 6 results there are 3 even numbers

Answer:

[tex]\Longrightarrow: \text{The slope is 0.}[/tex]

Step-by-step explanation:

The slope formula is used to determine the slope of the line.

Slope formula:

[tex]\Longrightarrow:\sf{\dfrac{Y_2-Y_1}{X_2-X_1} }[/tex]

y2=8

y1=4

x2=(-4)

x1=(-4)

Rewrite the problem down.

[tex]\sf{\dfrac{8-4}{-4-(-4)}=\dfrac{4}{0}=\boxed{\sf{0} }[/tex]

I hope this helps! Let me know if you have any questions.

Undefined

[tex]\sf \bold{ slope \ formula : \ \dfrac{y_2-y_1}{x_2-x_1} }[/tex]

insert the following coordinates

[tex]\hookrightarrow \sf \dfrac{8-4}{-4-(-4)}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{-4+4}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{0}[/tex]

Hence, following the rule [ (a/0) is undefined ]      The slope is undefined.

Answer:

5x-20

Step-by-step explanation:

Using the distributive property, we "feed" x and -4 the 5. So x turns into 5x and -4 turns into -20

Answer:

1. Set A

2.  [tex]\textsf{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]

3.

[tex](x+7)(x-7)[/tex]

[tex]\implies a=x\:\textsf{and}\:b=7[/tex]

[tex]\implies x^2-7^2=x^2-49[/tex]

[tex](x-9)(x+9)=(x+9)(x-9)[/tex]

[tex]\implies a=x\:\textsf{and}\:b=9[/tex]

[tex]\implies x^2-9^2=x^2-81[/tex]

[tex](4x-3)(4x+3)=(4x+3)(4x-3)[/tex]

[tex]\implies a=4x\:\textsf{and}\:b=3[/tex]

[tex]\implies (4x)^2-3^2=16x^2-9[/tex]

4.

[tex](2x+5)(2x-5)[/tex]

[tex]\implies a=2x\:\textsf{and}\:b=5[/tex]

[tex]\implies (2x)^2-5^2=4x^2-25[/tex]

5. [tex](x-6)(x-6)[/tex]

Cannot use Difference of Two Squares Formula to expand this expression.  To expand this expression, you would need to use the FOIL method: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

[tex]\implies (x-6)(x-6)=x^2-6x-6x+(-6)^2=x^2-12x+36[/tex]

Answer:

1.Set A

2.Aplyyanses of shortcut based

[tex] \beta \sin( \sec( \cos(e \alpha \% log_{14 |kkjja| }(?) ) ) ) bcaue \: f \: thd \: \: aakdx[/tex]

Step-by-step explanation:

thire9

The measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,

Though the real measurement is still the same the units and numerical values have been changed.

As it is given, the pool's volume or the amount of water in the pool is equal to 2.3×10⁴ units.

We know that an average swimming pool has a volume of water that is in gallons, therefore, the unit of water that will be filled in the swimming pool will be equal to 2.3×10⁴ gallons.

Hence, the measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.

Learn more about Units conversion:

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Answer: Individual probability stated below. As a single event 8/20×7/20×5/20

=280/8000= 3.5%

Step-by-step explanation: Balls picked with replacement is independent event.

P(red) =7/20 =35%

p(blue)= 8/20=40%

P(yellow) 5/20=25%

Answer:

602.88

Step-by-step explanation:

Formula for area is r²

4² is 16

16*3.14 = 50.24

50.24 × 12 = 602.88

Brainliest please?  

Answer:

To find how much peanut butter is in this jar, we use the formula for the volume of a cylinder.

(formula for vol. of cylinder)

V = π[tex]r^{2}[/tex]h

Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is being squared, and lastly 'h' stands for the height.

We are given the dimensions of:

This is all the information we need to fulfill the equation to this formula(volume of cylinder).

Plug in what you know:-

V = π[tex]r^{2}[/tex]h

(For 'pi' I'll be using 3.14 instead of 22/7)

V = 3.14(4^2) · 12 ← (The symbol ' ^ ' means to the power of.)

V = 3.14(16) · 12

V = 50.24 · 12

V = 602.88, 602.88 centimetres is the volume for this jar.